School re-opening is a few months later, though. These articles are talking about what hockey would look like today, June, July when the rinks first open up.
So I would imagine these constraints end up just like everything else... they are part of an overall phased return, and if everything goes well through the summer months, then a return to something that looks a lot more normal by September wouldn't be out of the question.
The one thing I can imagine lingering past September is the travel/tournament restriction. Even if basically everything goes perfectly and it looks like the virus is practically eradicated by September... it wouldn't surprise me if an abundance of caution still resulted in the elimination of all travel/tournament hockey for the coming season. Local league play might be back to something approximating normal, just like school. But they might wait out the travel until a true vaccination program is in place.